Math Problem Statement

Which correlation represents the strongest relationship? O a. +.68 O b. -.43 O c. +.37 O d. -.02

Solution

The correlation that represents the strongest relationship is:

a. +.68

Explanation:

  • Correlation values range from -1 to +1.
  • The closer the value is to -1 or +1, the stronger the relationship.
  • Positive correlations (e.g., +.68) indicate a direct relationship, while negative correlations (e.g., -.43) indicate an inverse relationship.
  • A correlation of +.68 is stronger than the others listed.

Would you like more details on interpreting correlations or how they apply to data?

Here are 5 questions to expand on this:

  1. What does a correlation value of +1 indicate?
  2. How does a negative correlation differ from a positive one?
  3. In what fields are correlations typically used to interpret relationships between variables?
  4. What does a correlation of 0 mean?
  5. How can you determine if a correlation is statistically significant?

Tip: Always remember that correlation does not imply causation.

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Math Problem Analysis

Mathematical Concepts

Statistics
Correlation

Formulas

Correlation coefficient formula: r = Σ((x - x̄)(y - ȳ)) / √(Σ(x - x̄)² Σ(y - ȳ)²)

Theorems

Properties of correlation coefficients
Strength and direction of linear relationships

Suitable Grade Level

Grades 10-12